Question

Which statement explains why correlation could be 0 even if a strong relationship between two variables...

Which statement explains why correlation could be 0 even if a strong relationship between two variables existed?

Group of answer choices

Since the correlation is 0, there is no strong relationship between the two variables; and a scatterplot would be misleading.

Correlation can be 0 even if there is a strong linear relationship between the variables.

Correlation only measures the strength of the relationship between two variables when the units of the two variables are the same.

Correlation does not describe curved (nonlinear) relationships between variables.

Math   Statistics-And-Probability   
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Answer #1

Sol:

since correlation=0

there is no linear relationship between two variables

However,this is only for linear relationship.It is possible that variables have a strong curvilinear relationship

If a strong linear relationship between two variables existed then correlation coefficient=1

If a strong curvilinear relationship between two variables existed then correlation coefficient can be zero

Correlation does not describe curved (nonlinear) relationships between variables.

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